I derived general formulas for multiplication, division, powers, and logarithms for the Universal Transcendental Constants (UTC).
Addition and subtraction are more challenging to derive; it was done only partially.
Universal Transcendental Constants have their unique way of calculations, i.e., they use what I call, Index Mathematics.
It means that indexes (subscripts) of the given constants are used to calculate new values of multiplication, division, powers, and logarithms, possibly integrals and derivatives.
I will start with simple examples so it is easier to understand and then derive the general formulas.
St. Nicanor (76 AD); St. John Camillus Bonus (660 AD); St. William of Bourges (1209 AD)
Universal Transcendental Function and Universal Transcendental Constants derived from "π" and "e" (‘Universe's Numbers’ or ‘God's Numbers’).
Abstract.
This paper introduces Universal Transcendental Function and Constants similar to ‘π’ and ‘e’ and derived from them.
The following article addresses the properties of the Transcendental Function, such as index and subscript mathematics.
The applications of this can be applied in Mathematics, Quantum Mechanics, Cosmology, and in Theology or Philosophy.
These numbers complete the number system, i.e., in addition to the numbers invented by humans, we also have the Transcendental Numbers, not invented but ‘created’. With these numbers, the Universe ‘talks to us.’ I also like the term ‘God’s Numbers’ which are part of Creation.
Introduction.
Derivation of Universal Transcendental Function.
How to derive the equation of the Universal Transcendental Function?
The first thing to note is that ‘π’ is at position "8" on the x-axis and ‘e’ is at position "7" on the x-axis. Only then can the formula be derived for the whole family of Transcendental Constants. (There may exist other placements of the constants ‘π’ and ‘e’, but I believe I chose the most precise, simple and elegant option).
St. Alphonsus Liguori (1787 AD); 7 Holy Maccabees (150 BC); St. in Chains (6th Century); Sts. Faith, Hope, and Charity (2nd Century AD)
New Explanation:
The Graphs in this article are primarily to show the reader:
the shape of the Real Part of the Equation, i.e., when the Main Equation is scanned with a complex number (C(π/e) , 0i) and Imaginary Part is scanned with (0, i*(C(π/e)).
The shape of the Imaginary part
The graph of the sum of the Real and Imaginary parts
I will come back to this critical topic in subsequent articles.